Help! does civ4 work without problems on this comp

[Apache1]

im currently playing civ4 on a laptop with the intel chipset that causes the black terrain problem and invisible leaders. Despite these problems i really enjoy the game and want to make sure that my new comp will play it flawlessly, i planned on buying a new comp before i bought civ4. I will be replacing my 5yr old desktop with this:

http://pcs.freepay.com/?r=23819209

I know this program work, i have the ipod nano to prove it.
if you have a comp with similar specs, how does it run?

thanks